Existence of representation frames based on wave packet groups
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Publication:5163743
DOI10.15672/hujms.540946zbMath1488.43003OpenAlexW3037491604MaRDI QIDQ5163743
Ali Akbar Arefijamaal, Atefe Razghandi
Publication date: 8 November 2021
Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15672/hujms.540946
General harmonic expansions, frames (42C15) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)
Cites Work
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- Zak transform for semidirect product of locally compact groups
- On the representation of functions with Gaussian wave packets
- Square-integrability of metaplectic wave-packet representations on \(L^2(\mathbb{R})\)
- Abstract harmonic analysis of wave-packet transforms over locally compact abelian groups
- Constructing pairs of dual bandlimited framelets with desired time localization
- A unified characterization of reproducing systems generated by a finite family. II
- Foundations of time-frequency analysis
- Multivariate wave-packet transforms
- The canonical dual frame of a wavelet frame
- A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups
- Pairs of dual wavelet frames from any two refinable functions
- The continuous Zak transform and generalized Gabor frames
- Coherent states, wavelets and their generalizations
- Generalized Weyl-Heisenberg (GWH) groups
- On the square integrability of quasi regular representation on semidirect product groups
- Pairs of dual Gabor frame generators with compact support and desired frequency localization
- Frames and bases. An introductory course
- Square-integrability of multivariate metaplectic wave-packet representations
- The wavelet transform, time-frequency localization and signal analysis
- Wave packets and fourier integral operators
- Zeros of the Zak transform on locally compact abelian groups
- Hermite and Laguerre wave packet expansions
- Abstract measure algebras over homogeneous spaces of compact groups
- Theoretical frame properties of wave-packet matrices over prime fields
- Orthonormal wavelets and tight frames with arbitrary real dilations
- Lectures on amenability